for the function z(x,y)=exp(-x^2-y^2)

a)

show a labeled surface plot of d^2z/dx^2 with x-range [-5 5] and y-range [-5,5] and step sizes of 0.1 without using ezsurf.

b)

For x=0, plot z(y), dz/dx, and d^2z/dx^2 on the same axis

c)

For x=0, fit d^2z/dx^2 vs y using a polynomial fit with fit orders from 1 to 50 . Plot the least squared error as a function of the fit order on a semilog y plot

d) make a single variable two-column matrix with LSQ error in the first column and fit order in the second column. Both columns should be ordered with respect to increasing LSQ error.

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